# Find Out the Value Given Equation? If

If (x^{2}+1/x^{2}=23), then the value of (x^{4}+1/x^{4}) is

- 527
- 526
- 429
- 629

**Answer: (1) 527**

**Explanation:-
**X

^{2}+ 1/X

^{2}= 23

Squaring on both side,

(X

^{2}+ 1/X

^{2})

^{2}= X

^{4}+ 1/X

^{4}+ 2 x X

^{2}x 1/X

^{2}

Put the value of X

^{2}+ 1/X

^{2}= 23

Then, 23

^{2}= X

^{4}+ 1/X

^{4}+ 2

529 – 2 = X

^{4}+ 1/X

^{4}

X

^{4}+ 1/X

^{4 }= 527

Then, the value of X^{4} + 1/X^{4} is 527.

Hence, the answer is (1) 527.